论文标题
$ z_b $状态的综合性质来自数据分析
Composite nature of $Z_b$ states from data analysis
论文作者
论文摘要
我们使用接近阈值的参数化，并明确包含Castillejo-Dalitz-Dyson Pors（比有效的范围扩展更一般）来研究类似底部的国家$ Z_B（10610）$（10610）$和$ Z_B（10650）$。就部分波幅度而言，我们适合$ b^{（*）} \ bar b^*$系统的事件编号分布，以从Belle Collaboration获得这些共鸣的实验数据。数据可以很好地描述我们的方法，该方法支持分子解释。然后获得相关的物理量，包括$ b^{（*）} \ bar {b}^*$散射长度（$ a $），有效范围（$ r $）和复数平面中极点的残基平方（$γ_S^2 $）。特别是，我们发现$ b \ bar b \ b^*$（$ b^*\ bar b^*$）组件的综合性在共鸣$ z_b（10610）$（$ z_b（10650）$）中范围为1.4至1。
We use a near-threshold parameterization with explicit inclusion of the Castillejo-Dalitz-Dyson poles, which is more general than the effective range expansion, to study the bottomonium-like states $Z_b(10610)$ and $Z_b(10650)$. In terms of the partial-wave amplitude, we fit the event number distribution of $B^{(*)}\bar B^*$ system to the experimental data for these resonances from Belle Collaboration. The data could be described very well in our method, which supports the molecular interpretation. Then the relevant physical quantities are obtained, including the $B^{(*)}\bar{B}^*$ scattering length ($a$), effective range ($r$), and residue squared ($γ_s^2$) of the pole in the complex plane. In particular, we find the compositeness can range from about 0.4 up to 1 for the $B\bar B^*$ ($B^*\bar B^*$) component in the resonance $Z_b(10610)$ ($Z_b(10650)$).
